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Determine whether the statement below is true or false. Justify the answer. The equation x = p + tv describes a line through v parallel to p. Choose the correct answer below. O A. The statement is true. The effect of adding p to v is to move p in a direction parallel to the line through v and 0. So the equation x=p+tv describes a line through v parallel to p. B. The statement is false. The effect of adding p to v is to move p in a direction parallel to the plane through v and 0. So the equation x=p+tv describes a plane through v parallel to p. C. The statement is false. The effect of adding p to v is to move v in a direction parallel to the plane through p and 0. So the equation x=p+tv describes a plane through p parallel to v. D. The statement is false. The effect of adding p to v is to move v in a direction parallel to the line through p and 0. So the equation x=p+tv describes a line through p parallel to v. wrong

Determine whether the statement below is true or false. Justify the answer. The equation x = p + tv describes a line through v parallel to p. Choose the correct answer below. O A. The statement is true. The effect of adding p to v is to move p in a direction parallel to the line through v and 0. So the equation x=p+tv describes a line through v parallel to p. B. The statement is false. The effect of adding p to v is to move p in a direction parallel to the plane through v and 0. So the equation x=p+tv describes a plane through v parallel to p. C. The statement is false. The effect of adding p to v is to move v in a direction parallel to the plane through p and 0. So the equation x=p+tv describes a plane through p parallel to v. D. The statement is false. The effect of adding p to v is to move v in a direction parallel to the line through p and 0. So the equation x=p+tv describes a line through p parallel to v. wrong

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Determine whether the statement below is true or false. Justify the answer. The equation x = p + tv describes a line through v parallel to p. Choose the correct answer below. O A. The statement is true. The effect of adding p to v is to move p in a direction parallel to the line through v and O. So the equation x = p + tv describes a line through v parallel to p. B. The statement is false. The effect of adding p to v is to move p in a direction parallel to the plane through v and 0. So the equation x=p+tv describes a plane through v parallel to p. C. The statement is false. The effect of adding p to v is to move v in a direction parallel to the plane through p and 0. So the equation x = p + tv describes a plane through p parallel to v. D. The statement is false. The effect of adding p to v is to move v in a direction parallel to the line through p and 0. So the equation x = p + tv describes a line through p parallel to v. wrong
Transcribed Image Text:Determine whether the statement below is true or false. Justify the answer. The equation x = p + tv describes a line through v parallel to p. Choose the correct answer below. O A. The statement is true. The effect of adding p to v is to move p in a direction parallel to the line through v and O. So the equation x = p + tv describes a line through v parallel to p. B. The statement is false. The effect of adding p to v is to move p in a direction parallel to the plane through v and 0. So the equation x=p+tv describes a plane through v parallel to p. C. The statement is false. The effect of adding p to v is to move v in a direction parallel to the plane through p and 0. So the equation x = p + tv describes a plane through p parallel to v. D. The statement is false. The effect of adding p to v is to move v in a direction parallel to the line through p and 0. So the equation x = p + tv describes a line through p parallel to v. wrong
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